Precise integration method for a class of singular two-point boundary value problems  

作　　者：Wen-Zhi Zhang Pei-Yan Huang 

机构地区：[1]School of Civil and Transportation Engineering,South China University of Technology

出　　处：《Acta Mechanica Sinica》2013年第2期233-240,共8页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (11132004 and 51078145);the Natural Science Foundation of Guangdong Province (9251064101000016)

摘　　要：In this paper we present a precise integration method based on high order multiple perturbation method and reduction method for solving a class of singular twopoint boundary value problems.Firstly,by employing the method of variable coefficient dimensional expanding,the non-homogeneous ordinary differential equations（ODEs） are transformed into homogeneous ODEs.Then the interval is divided evenly,and the transfer matrix in every subinterval is worked out using the high order multiple perturbation method,and a set of algebraic equations is given in the form of matrix by the precise integration relation for each segment,which is worked out by the reduction method.Finally numerical examples are elaboratedd to validate the present method.In this paper we present a precise integration method based on high order multiple perturbation method and reduction method for solving a class of singular twopoint boundary value problems.Firstly,by employing the method of variable coefficient dimensional expanding,the non-homogeneous ordinary differential equations（ODEs） are transformed into homogeneous ODEs.Then the interval is divided evenly,and the transfer matrix in every subinterval is worked out using the high order multiple perturbation method,and a set of algebraic equations is given in the form of matrix by the precise integration relation for each segment,which is worked out by the reduction method.Finally numerical examples are elaboratedd to validate the present method.

关 键 词：Singular two point boundary value problem Precise integration method High order multiple perturbation method Reduction method 

分 类 号：O241.82[理学—计算数学]